Step 1: Test Set-upBayside University of North Kentucky is experimenting with a remedial program for students on academic probation. The university’s administrators randomly selected 49 freshmen on probation and have a Grade Point Average from 1.00, a D- average, to just under a 2.00, or just below a C average. The students were required to attend weekly tutoring sessions and to take special remedial courses the following semester. To determine whether this program improved students’ GPAs as measured by their GPAs for their first semester after they completed the program, the college compared students’ GPAs for the first semester after they completed this program to their pre-program GPAs.Table 20 shows the data from this test along with the summary statistic Table 20: Remedial Education Program Test Results Step 2. Select the Level of Significance, αA 5 percent significance level was selected. Step 3. State the Null Hypothesis (H0) and Alternate Hypothesis (H1)H0:H1: Step 4. Compose the Decision Rule Step 5. Calculate the Value of the Test Statistic, p-value, and estimate statistical powerUse G*Power to calculate statistical power. Step 6. Decide and Report * * * AВDEFGPre-Post-Program Programd – d (d-d)?1GPASGPASd211.702.000.300.240.057321.802.000.200.140.019431.852.100.250.190.03641.901.900.00-0.060.0041.901.900.00-0.060.00471.801.800.00-0.060.004871.751.65-0.10-0.160.02681.671.750.080.020.000109.1.701.920.220.160.02511101.701.60-0.10-0.160.02612111.902.250.350.290.08413121.902.000.100.040.00214131.701.900.200.140.01915141.752.000.250.190.03616151.902.250.350.290.08417161.902.000.100.040.00218171.851.900.05-0.010.00019181.751.50-0.25-0.310.09620191.751.750.00-0.060.00421201.852.250.400.340.11522211.671.00-0.67-0.730.53323221.670.00-1.67-1.732.99424231.751.00-0.75-0.810.65725241.902.250.350.290.08426251.852.000.150.090.00827261.601.850.250.190.03628271.251.500.250.190.03629281.701.840.140.080.006 30291.751.750.00-0.060.00431301.952.000.05-0.010.00032311.702.080.380.320.10233321.671.920.250.190.03634331.902.000.100.040.00235341.802.000.200.140.01936351.702.000.300.240.05737361.852.000.150.090.00838371.701.50-0.20-0.260.06839381.702.250.550.490.24040391.672.000.330.270.07341401.672.080.410.350.12242411.701.50-0.20-0.260.06843421.881.84-0.04-0.100.01044431.902.000.100.040.00245441.902.000.100.040.00246451.671.50-0.17-0.230.05347461.852.000.150.090.00848471.602.000.400.340.11549481.851.50-0.35-0.410.16850491.901.900.00-0.060.00451Mean1.771.83 Σ2.966.15852 Std. Dev.0.120.38 n49n - 14853d 0.060dvar0.12854d,0.358Step 2. Select the Level of Significance, aA 5 percent significance level was selected.

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Description: Step 1: Test Set-upBayside University of North Kentucky is experimenting with a remedial program for students on academic probation. The university’s administrators randomly selected 49 freshmen on probation and have a Grade Point Average from 1.00,

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Step 1: Test Set-up

Bayside University of North Kentucky is experimenting with a remedial program for students on academic probation. The university’s administrators randomly selected 49 freshmen on probation and have a Grade Point Average from 1.00, a D- average, to just under a 2.00, or just below a C average. The students were required to attend weekly tutoring sessions and to take special remedial courses the following semester. To determine whether this program improved students’ GPAs as measured by their GPAs for their first semester after they completed the program, the college compared students’ GPAs for the first semester after they completed this program to their pre-program GPAs.

Table 20 shows the data from this test along with the summary statistic Table 20: Remedial Education Program Test Results

Step 2. Select the Level of Significance, α

A 5 percent significance level was selected.

Step 3. State the Null Hypothesis (H₀) and Alternate Hypothesis (H₁)

H₀:

H₁:

Step 4. Compose the Decision Rule

Step 5. Calculate the Value of the Test Statistic, p-value, and estimate statistical power

Use G*Power to calculate statistical power.

Step 6. Decide and Report

* * *

A
В
DE
F
G
Pre-
Post-
Program Program
d – d (d-d)?
1
GPAS
GPAS
d
2
1
1.70
2.00
0.30
0.24
0.057
3
2
1.80
2.00
0.20
0.14
0.019
4
3
1.85
2.10
0.25
0.19
0.036
4
1.90
1.90
0.00
-0.06
0.004
1.90
1.90
0.00
-0.06
0.004
7
1.80
1.80
0.00
-0.06
0.004
8
7
1.75
1.65
-0.10
-0.16
0.026
8
1.67
1.75
0.08
0.02
0.000
10
9.
1.70
1.92
0.22
0.16
0.025
11
10
1.70
1.60
-0.10
-0.16
0.026
12
11
1.90
2.25
0.35
0.29
0.084
13
12
1.90
2.00
0.10
0.04
0.002
14
13
1.70
1.90
0.20
0.14
0.019
15
14
1.75
2.00
0.25
0.19
0.036
16
15
1.90
2.25
0.35
0.29
0.084
17
16
1.90
2.00
0.10
0.04
0.002
18
17
1.85
1.90
0.05
-0.01
0.000
19
18
1.75
1.50
-0.25
-0.31
0.096
20
19
1.75
1.75
0.00
-0.06
0.004
21
20
1.85
2.25
0.40
0.34
0.115
22
21
1.67
1.00
-0.67
-0.73
0.533
23
22
1.67
0.00
-1.67
-1.73
2.994
24
23
1.75
1.00
-0.75
-0.81
0.657
25
24
1.90
2.25
0.35
0.29
0.084
26
25
1.85
2.00
0.15
0.09
0.008
27
26
1.60
1.85
0.25
0.19
0.036
28
27
1.25
1.50
0.25
0.19
0.036
29
28
1.70
1.84
0.14
0.08
0.006

30
29
1.75
1.75
0.00
-0.06
0.004
31
30
1.95
2.00
0.05
-0.01
0.000
32
31
1.70
2.08
0.38
0.32
0.102
33
32
1.67
1.92
0.25
0.19
0.036
34
33
1.90
2.00
0.10
0.04
0.002
35
34
1.80
2.00
0.20
0.14
0.019
36
35
1.70
2.00
0.30
0.24
0.057
37
36
1.85
2.00
0.15
0.09
0.008
38
37
1.70
1.50
-0.20
-0.26
0.068
39
38
1.70
2.25
0.55
0.49
0.240
40
39
1.67
2.00
0.33
0.27
0.073
41
40
1.67
2.08
0.41
0.35
0.122
42
41
1.70
1.50
-0.20
-0.26
0.068
43
42
1.88
1.84
-0.04
-0.10
0.010
44
43
1.90
2.00
0.10
0.04
0.002
45
44
1.90
2.00
0.10
0.04
0.002
46
45
1.67
1.50
-0.17
-0.23
0.053
47
46
1.85
2.00
0.15
0.09
0.008
48
47
1.60
2.00
0.40
0.34
0.115
49
48
1.85
1.50
-0.35
-0.41
0.168
50
49
1.90
1.90
0.00
-0.06
0.004
51
Mean
1.77
1.83 Σ2.96
6.158
52 Std. Dev.
0.12
0.38 n
49
n - 1
48
53
d 0.060
dvar
0.128
54
d,
0.358
Step 2. Select the Level of Significance, a
A 5 percent significance level was selected.

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